3 papers
math.GR2025
Cops and robbers for hyperbolic and virtually free groups
Raphael Appenzeller, Kevin Klinge
Lee, Martínez-Pedroza and Rodríguez-Quinche define two new group invariants, the strong cop number and the weak cop number , by examining…
math.GR2024
Dimension drop in residual chains
Sam P Fisher, Kevin Klinge
We give a description of the Linnell division ring of a countable residually (poly- virtually nilpotent) (RPVN) group in terms of a generalised Novikov ring, and show th…
math.GR2023
Sigma invariants for partial orders on nilpotent groups
Kevin Klinge
We prove that a map onto a nilpotent group has finitely generated kernel if and only if the preimage of the positive cone is coarsely connected as a subset of the Cayley graph…